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203013301103232 = 27315724113972579
BaseRepresentation
bin101110001010001110110111…
…101100100110101010000000
3222121210212211000021101110120
4232022032313230212222000
5203102132220040300412
61555435004545500240
760522140566142334
oct5612166754465200
9877725730241416
10203013301103232
1159760503a21824
121a929407941680
1389380c2686769
14381bc792657c4
151870c963b0b8c
hexb8a3b7b26a80

203013301103232 has 128 divisors (see below), whose sum is σ = 544940680257600. Its totient is φ = 66961065000960.

The previous prime is 203013301103203. The next prime is 203013301103243. The reversal of 203013301103232 is 232301103310302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7543119 + ... + 21515697.

Almost surely, 2203013301103232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203013301103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272470340128800).

203013301103232 is an abundant number, since it is smaller than the sum of its proper divisors (341927379154368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203013301103232 is a wasteful number, since it uses less digits than its factorization.

203013301103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13972994 (or 13972982 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 203013301103232 its reverse (232301103310302), we get a palindrome (435314404413534).

The spelling of 203013301103232 in words is "two hundred three trillion, thirteen billion, three hundred one million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 241 314 384 471 482 628 723 942 964 1256 1446 1884 1928 2512 2892 3768 3856 5024 5784 7536 7712 10048 11568 15072 15424 20096 23136 30144 30848 37837 46272 60288 75674 92544 113511 151348 227022 302696 454044 605392 908088 1210784 1816176 2421568 3632352 4843136 7264704 13972579 14529408 27945158 41917737 55890316 83835474 111780632 167670948 223561264 335341896 447122528 670683792 894245056 1341367584 1788490112 2193694903 2682735168 3367391539 4387389806 5365470336 6581084709 6734783078 8774779612 10102174617 13162169418 13469566156 17549559224 20204349234 26324338836 26939132312 35099118448 40408698468 52648677672 53878264624 70198236896 80817396936 105297355344 107756529248 140396473792 161634793872 210594710688 215513058496 280792947584 323269587744 421189421376 431026116992 528680471623 646539175488 842378842752 1057360943246 1293078350976 1586041414869 2114721886492 3172082829738 4229443772984 6344165659476 8458887545968 12688331318952 16917775091936 25376662637904 33835550183872 50753325275808 67671100367744 101506650551616 203013301103232